Paley inequality for Bellman transform of multiple Fourier series

DOI10.3103/S0027132214030024zbMath1311.42018OpenAlexW2052408133MaRDI QIDQ2018027

E. D. Nursultanov, A. M. Zhantakbaeva

Publication date: 24 March 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132214030024

zbMATH Keywords

multiple Fourier seriesHardy-Littlewood-Paley inequalityanisotropic Lorentz spacesBellman type means

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (1)

Hardy-type theorems on Fourier transforms revised

Cites Work

• Interpolation of Linear Operators
• On the coefficients of multiple Fourier series in $ L_p$-spaces
• An application of interpolation theory to Fourier series
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